# complex number

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## complex number

n.
Any number of the form a + bi, where a and b are real numbers and i is an imaginary number whose square equals -1.

## complex number

n
(Mathematics) any number of the form a + ib, where a and b are real numbers and i = √–1. See number1
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## com′plex num′ber

n.
a mathematical expression (a + bi) in which a and b are real numbers and i2=−1.
[1825–35]

## com·plex number

(kŏm′plĕks′)
A number that can be expressed in terms of i (the square root of -1). Mathematically, such a number can be written a + bi, where a and b are real numbers. An example is 4 + 5i.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 complex number - (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementnumber - a concept of quantity involving zero and units; "every number has a unique position in the sequence"complex conjugate - either of two complex numbers whose real parts are identical and whose imaginary parts differ only in signreal, real number - any rational or irrational numberpure imaginary number - an imaginary number of the form a+bi where a is 0imaginary part, imaginary part of a complex number - the part of a complex number that has the square root of -1 as a factor
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
komplexní číslo
kompleksa nombro
kompleksiluku
מספר מרוכב
kompleksni broj
komplex szám
tvinntala
numero complesso
복소수
komplekst tall
komplexa tal
karmaşık sayılar
References in periodicals archive ?
Suppose a is a non-zero complex number such that [Real part] (1/[alpha]) > 0.
Traditionally, z is assumed to be a complex number and the roots are usually determined by using de Moivre's theorem adapted for fractional indices.
According to reports, India's indigenously developed surface-to-surface ballistic missile 'Prithvi' was engaged as hostile vehicle from launch complex number 3 of Integrated Test Range, ITR in Chandipore of Balasore district in Odisha at 10.13 this morning for the endo-atmospheric test of the interceptor.
and q, q(z) [not equal to] 0 is univalent in E and [micro] a complex number. Throughout this paper, value of the complex power taken is the principal one.
Owner: Donna Property type: Villa/Apartment complex Number of bedrooms: 5-6 apartments Filming location: Unspecified Greek Island Fictional location: Skopelos, Kastani Beach PS924,000 When you stop at Bates Motel, you might never leave again, and not because of its TripAdvisor reviews Although in need of some TLC, the 12-bedroom property is the perfect choice for property moguls in search of a long-term investment, and would be particularly suited to single parents with creepy children.
The polar derivative of a polynomial p(z) of degree n with respect to a complex number a, denoted by [D.sub.[alpha]]p(z), is defined by
If f given by (1) is in the class [S.sup.*.sub.q[lambda]]([phi]) and [mu] is a complex number, then
Scientific Calculator supports advanced calculations such as complex number equations and it has a large universal/physical/mathematical/chemical constant table, making it a tool ready for science.
My "go to" example for this is working with a collection of complex numbers. A complex number has both a real and imaginary value.
If the sequence *-converges to a complex number [s.sup.*] then we say that the series *-converges and write [s.sup.*.sub.n] = [sub.*][[summation].sup.[infinity].sub.k=0] [z.sup.*.sub.k].

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